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mattbaker.blog | ||
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hadrienj.github.io
This introduction to scalars, vectors, matrices and tensors presents Python/Numpy code and drawings to build a better intuition behind these linear algebra b... |
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stephenmalina.com
Selected Exercises # 5.A # 12. Define $ T \in \mathcal L(\mathcal P_4(\mathbf{R})) $ by $$ (Tp)(x) = xp'(x) $$ for all $ x \in \mathbf{R} $. Find all eigenvalues and eigenvectors of $ T $. Observe that, if $ p = a_0 + a_1 x + a_2 x^2 + a_3 x^3 + a_4 x^4 $, then $$ x p'(x) = a_1 x + 2 a_2 x^2 + 3 a_3 x^3 + 4 a_4 x^4. |
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leanprover-community.github.io
[AI summary] A technical documentation entry for the Lean mathematical library detailing definitions and operations for semimodules, modules, matrices, linear maps, and bilinear forms |
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wildtopology.com
The double earring consists of two copies of the usual earring space $latex \mathbb{E}$ adjoined by an arc. Specifically, one many construct it as: $latex X=\left(\bigcup_{n\in\mathbb{N}}C_n\right)\cup \left([-1,0]\times \{0\}\right)\cup \left(\bigcup_{n\in\mathbb{N}}D_n\right)$ where $latex C_n$ and $latex D_n$ are the circle of radius $latex 1/n$ centered at $latex (1/n,0)$ and $latex (-1-1/n,0)$ respectively. Topological Properties: Planar, 1-dimensional, path-connected,... |
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